102252 has 12 divisors (see below), whose sum is σ = 238616. Its totient is φ = 34080.

The previous prime is 102251. The next prime is 102253. The reversal of 102252 is 252201.

It is an interprime number because it is at equal distance from previous prime (102251) and next prime (102253).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 8521 = 102252 / (1 + 0 + 2 + 2 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4249 + ... + 4272.

2¹⁰²²⁵² is an apocalyptic number.

102252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102252 is an abundant number, since it is smaller than the sum of its proper divisors (136364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102252 is a wasteful number, since it uses less digits than its factorization.

102252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8528 (or 8526 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 102252 is about 319.7686663824. The cubic root of 102252 is about 46.7617336405.

Adding to 102252 its reverse (252201), we get a palindrome (354453).

The spelling of 102252 in words is "one hundred two thousand, two hundred fifty-two".